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Finding the Fourth Proportional to 130.26, 195.21 and 66.06

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Solution

The fourth proportional to 130.26, 195.21 and 66.06 is: 99.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.26 : 195.21 = 66.06 : x
  2. Step 2: Convert to fraction form
    130.26/195.21 = 66.06/x
  3. Step 3: Cross multiply
    130.26x = 195.21 × 66.06
  4. Step 4: Simplify right side
    130.26x = 12,895.57
  5. Step 5: Solve for x
    x = 12,895.57/130.26
  6. Step 6: Final answer
    x = 99.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.